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Analysis of non-functional aspects like performance and reliability are crucial for the success of dynamic distributed systems that are self adaptive. With the success of the Internet and mobile technology, properties like the reliability of connections, available bandwidth and computing resources become an even greater concern. Non-functional requirements, are often difficult to capture, measure, and predict. Therefore, stochastic methods are required to address these aspects. For the same purpose, architecture of dynamic distributed systems, in particular P2P networks is viewed as a graph and modeled by graph transformation.